Behrens T, Taeger D, Wellmann J, Keil U
Institute of Epidemiology and Social Medicine, University of Münster, Münster, Germany.
Methods Inf Med. 2004;43(5):505-9.
According to results from the epidemiological literature, it can be expected that the prevalence odds ratio (POR) and the prevalence ratio (PR) differ with increasing disease prevalence. We illustrate different concepts to calculate these effect measures in cross-sectional studies and discuss their advantages and weaknesses, using actual data from the ISAAC Phase III cross-sectional survey in Münster, Germany.
We analyzed data on the association between self-reported traffic density and wheeze and asthma by means of the POR, obtained from a logistic regression, and the PR, which was estimated from a log-linear binomial model and from different variants of a Poisson regression.
The analysis based on the less frequent disease, i.e. asthma with an overall prevalence of 7.8%, yielded similar results for all estimates. When wheezing with a prevalence of 17.5% was analyzed, the POR produced the highest estimates with the widest confidence intervals. While the point estimates were similar in the log-binomial model and Poisson regression, the latter showed wider confidence intervals. When we calculated the Poisson regression with robust variances, confidence intervals narrowed.
Since cross-sectional studies often deal with frequent diseases, we encourage analyzing cross-sectional data based on log-linear binomial models, which is the 'natural method' for estimating prevalence ratios. If algorithms fail to converge, a useful alternative is to define appropriate starting values or, if models still do not converge, to calculate a Poisson regression with robust estimates to control for overestimation of errors in the binomial data.
根据流行病学文献结果,预计患病率比值比(POR)和患病率比(PR)会随着疾病患病率的增加而有所不同。我们使用德国明斯特国际儿童哮喘和过敏研究(ISAAC)第三阶段横断面调查的实际数据,阐述在横断面研究中计算这些效应量度的不同概念,并讨论其优缺点。
我们通过逻辑回归得到的POR以及从对数线性二项模型和泊松回归的不同变体估计得到的PR,分析了自我报告的交通密度与喘息和哮喘之间关联的数据。
基于患病率较低的疾病(即总体患病率为7.8%的哮喘)进行的分析,所有估计结果相似。当分析患病率为17.5%的喘息时,POR得出的估计值最高,置信区间最宽。虽然对数二项模型和泊松回归中的点估计相似,但后者的置信区间更宽。当我们计算具有稳健方差的泊松回归时,置信区间变窄。
由于横断面研究经常涉及常见疾病,我们鼓励基于对数线性二项模型分析横断面数据,这是估计患病率比的“自然方法”。如果算法无法收敛,一个有用的替代方法是定义合适的初始值,或者,如果模型仍然无法收敛,则计算具有稳健估计的泊松回归以控制二项数据中误差的高估。